Programming an inference AI that computes the best outcomes like a quantum computer
Welcome to the AI stack Jake. 

This probably isn't going to be possible. Modern Psudo-random number generators, like Mersenne Twister, are designed not to have any patterns in them, so there's nothing to learn from.  

You could however, try something like predicting the values of a broken random number generator, like RANDU. These aren't used anymore, precisely because it's possibly to predict future numbers on the basis of past numbers.

Hope this helps.